3-43 A financial advisor has recommended two possible mutual funds for investment: Fund A and Fund B. The return that will be achieved by each of these de- pends on whether the economy is good, fair, or poor. A payoff table has been constructed to illustrate this situation: STATE OF NATURE GOOD FAIR POOR INVESTMENT ECONOMY ECONOMY ECONOMY Fund A $10,000 $2,000 -$5,000 Fund B $6,000 $4,000 Probability 0.2 0.3 0.5 (a) Draw the decision tree to represent this situation. (b) Perform the necessary calculations to determine which of the two mutual funds is better. Which one should you choose to maximize the expected

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